99893606400 has 1728 divisors, whose sum is σ = 449511229440. Its totient is φ = 21499084800.

The previous prime is 99893606399. The next prime is 99893606443. The reversal of 99893606400 is 460639899.

It is a happy number.

99893606400 is a `hidden beast` number, since 9 + 98 + 93 + 60 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2699827182 + ... + 2699827218.

Almost surely, 2^99893606400 is an apocalyptic number.

99893606400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99893606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224755614720).

99893606400 is an abundant number, since it is smaller than the sum of its proper divisors (349617623040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99893606400 is a wasteful number, since it uses less digits than its factorization.

99893606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 99893606400 in words is "ninety-nine billion, eight hundred ninety-three million, six hundred six thousand, four hundred".